Solve (0.0000025*10^10)div(35000*10^-20)=

$$(0.0000025 \times { 10 }^{ 10 } ) \div (35000 \times { 10 }^{ -20 } )=$$

Evaluate

$$\frac{500000000000000000000}{7}\approx 7.142857143 \cdot 10^{19}$$

Solution Steps

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$\frac{0.0000025\times 10^{30}}{35000}$$

Calculate 10 to the power of 30 and get 1000000000000000000000000000000.

$$\frac{0.0000025\times 1000000000000000000000000000000}{35000}$$

Multiply 0.0000025 and 1000000000000000000000000000000 to get 2500000000000000000000000.

$$\frac{2500000000000000000000000}{35000}$$

Reduce the fraction \frac{2500000000000000000000000}{35000} to lowest terms by extracting and canceling out 5000.

$$\frac{500000000000000000000}{7}$$

Factor

$$\frac{2 ^ {20} \cdot 5 ^ {21}}{7} = 7.142857142857143 \times 10^{19}\frac{3}{7} = 7.142857142857143 \times 10^{19}$$